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BaseRepresentation
bin1111101000001000
310020210200
433220020
54022013
61212200
7354420
oct175010
9106720
1064008
11440aa
1231060
1323199
1419480
1513e73
hexfa08

64008 has 48 divisors (see below), whose sum is σ = 199680. Its totient is φ = 18144.

The previous prime is 64007. The next prime is 64013. The reversal of 64008 is 80046.

64008 = T17 + T18 + ... + T72.

64008 = 23 + 33 + ... + 223.

It is a Cunningham number, because it is equal to 2532-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (64007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (4160).

264008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99840).

64008 is an abundant number, since it is smaller than the sum of its proper divisors (135672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64008 is a wasteful number, since it uses less digits than its factorization.

64008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 64008 is about 252.9980237077. The cubic root of 64008 is about 40.0016665972.

The spelling of 64008 in words is "sixty-four thousand, eight".